Question
Use the distributive property to remove the parenthes \( (x-11) 5 \)
Ask by Schmidt Wagner. in the United States
Feb 07,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 5x - 55 \)
Solution
To remove the parentheses in the expression \( (x - 11) \times 5 \) using the **distributive property**, follow these steps:
### **Distributive Property Overview**
The distributive property states that:
\[
a \times (b + c) = a \times b + a \times c
\]
This property allows you to multiply a single term by each term inside the parentheses.
### **Applying the Distributive Property**
Given the expression:
\[
(x - 11) \times 5
\]
Here, \( a = 5 \), \( b = x \), and \( c = -11 \). Apply the distributive property as follows:
\[
5 \times (x) + 5 \times (-11)
\]
### **Calculate Each Part**
1. **Multiply 5 by \( x \):**
\[
5 \times x = 5x
\]
2. **Multiply 5 by \(-11\):**
\[
5 \times (-11) = -55
\]
### **Combine the Results**
\[
5x - 55
\]
### **Final Answer**
\[
5x - 55
\]
This is the simplified form of the original expression without parentheses.
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To apply the distributive property, you simply multiply each term inside the parentheses by the number outside. In this case, you would take \(5\) and multiply it by both \(x\) and \(-11\). This gives you: \( (x - 11) 5 = 5x - 55 \) So, the expression \( (x - 11) 5 \) simplifies to \( 5x - 55 \). Need a quick tip? Always remember that the distributive property can also be expressed using the formula \(a(b+c) = ab + ac\). Just think of it as giving every term a friendly nudge from the number outside—no term left behind!